The center of a circle is located at (−2, 7) . The radius of the circle is 2. What is the equation of the circle in general form?

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2 Answers
May 11, 2017

D

Explanation:

D.
It is explained already by another contributor

May 11, 2017

The answer is the last one, x^2+y^2+4x-14y+49=0

Explanation:

We need

(a+b)^2=a^2+2ab+b^2

(a-b)^2=a^2-2ab+b^2

The equation of a circle, center (h,k) and radius =r is

(x-h)^2+(y-h)^2=r^2

Here, the center is (-2,7) and the radius is =2

The equation of the circle is

(x+2)^2+(y-7)^2=4

x^2+4x+4+y^2-14y+49-4=0

x^2+y^2+4x-14y+49=0